Historically, a certain large company receives some job applications from Virginia Tech each year. 20% of the years see 1 Tech applicant, 45% of the years see 2 Tech applicants, and 35% of the years see 3 Tech applicants. Also historically, the probability that each applicant from Tech will be hired is .32, independently of whether others are hired. In 2017, what is the probability that all applicants from Virginia Tech will be hired?
